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Finding the Third Proportional to 29,916 and 46,314

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Solution

The third proportional to 29,916 and 46,314 is: 71,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916 : 46,314 = 46,314 : x
  2. Step 2: Convert to fraction form
    29,916/46,314 = 46,314/x
  3. Step 3: Cross multiply
    29,916x = 46,314 × 46,314
  4. Step 4: Simplify right side
    29,916x = 2,144,986,596
  5. Step 5: Solve for x
    x = 2,144,986,596/29,916
  6. Step 6: Final answer
    x = 71,700.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.